Engineering Calculus Notes 87

# Engineering Calculus Notes 87 - 75 1.6 CROSS PRODUCTS For...

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Unformatted text preview: 75 1.6. CROSS PRODUCTS For example, the triangle with vertices A(2, −3), B (4, −2) and C (3, −1), shown in Figure 1.36, has − − → →→ AB = 2− + − ı − →− → AC = → + 2− ı and its signed area is 1 2 21 12 1 = [(2)(2) − (1)(1)] 2 1 = [4 − 1] 2 3 =; 2 you can verify from Figure 1.36 that the path A → B → C → A traverses the triangle counterclockwise. 1 0 C (3, −1) -1 -2 B (4, −2) -3 A(2, −3) -4 -1 0 1 2 3 4 5 Figure 1.36: Oriented Triangle △ABC , Positive Orientation The triangle with vertices A(−3, 4), B (−2, 5) and C (−1, 3) (Figure 1.37) has − − →→→ AB = − + − ı − → →→ AC = 2− − − ı ...
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## This note was uploaded on 10/20/2011 for the course MAC 2311 taught by Professor All during the Fall '08 term at University of Florida.

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